Questions: Use the graph of (f(x)) to sketch the graph of (f^-1). Use the graphs to determine of each function. c. D. The domain of (f) is (Type your answer in interval notation.) The range of (f) is ([-3,5]) (Type your answer in interval notation.) The domain of (f^-1) is (Type your answer in interval notation.) The range of (f^-1) is . (Type your answer in interval notation.)

Use the graph of (f(x)) to sketch the graph of (f^-1). Use the graphs to determine of each function. c. D. The domain of (f) is (Type your answer in interval notation.) The range of (f) is ([-3,5]) (Type your answer in interval notation.) The domain of (f^-1) is (Type your answer in interval notation.) The range of (f^-1) is . (Type your answer in interval notation.)
Transcript text: Use the graph of $f(x)$ to sketch the graph of $f^{-1}$. Use the graphs to determine of each function. c. D. The domain of $f$ is $\square$ (Type your answer in interval notation.) The range of $f$ is $[-3,5]$ (Type your answer in interval notation.) The domain of $f^{-1}$ is $\square$ (Type your answer in interval notation.) The range of $f^{-1}$ is $\square$ $\square$. (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Find the Domain of f(x)

The domain of f(x) is given as [-3,5]. This is also visually confirmed by observing the x values of the graph provided.

Step 2: Find the Range of f(x)

The range of f(x) is given as [-3,5]. This can be visually confirmed by looking at the y values covered by the graph.

Step 3: Find the Domain of f⁻¹(x)

The domain of the inverse function f⁻¹(x) is the same as the range of the original function f(x). Therefore, the domain of f⁻¹(x) is [-3,5].

Final Answer:

Domain of f(x): [-3,5] Range of f(x): [-3,5] Domain of f⁻¹(x): [-3,5]

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